On the process of filtration of fractional viscoelastic liquid food

作     者：Yahui Meng Botong Li Xinhui Si Xuehui Chen Fawang Liu Yahui Meng;Botong Li;Xinhui Si;Xuehui Chen;Fawang Liu

作者机构：School of Mathematics and PhysicsUniversity of Science and Technology BeijingBeijing 100083China School of Mathematical SciencesQueensland University of TechnologyGPO Box 2434BrisbaneQld.4001Australia 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2021年第73卷第4期

页      面：29-44页

核心收录：

学科分类：0832[工学-食品科学与工程（可授工学、农学学位）] 08[工学] 083201[工学-食品科学] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：supported by the Fundamental Research Funds for the Central Universities the National Natural Science Foundation of China(12072024)。 

主　　题：non-uniform permeable surface viscoelastic fluid fractional calculus implicit numerical method 

摘      要：In the process of filtration,fluid impurities precipitate/accumulate;this results in an uneven inner wall of the filter,consequently leading to non-uniform suction/injection.The Riemannian-Liouville fractional derivative model is used to investigate viscoelastic incompressible liquid food flowing through a permeable plate and to generalize Fick s law.Moreover,we consider steady-state mass balance during ultrafiltration on a plate surface,and a fractional-order concentration boundary condition is established,thereby rendering the problem real and complex.The governing equation is numerically solved using the finite difference algorithm.The effects of the fractional constitutive models,generalized Reynolds number,generalized Schmidt number,and permeability parameter on the velocity and concentration fields are compared.The results show that an increase in fractional-orderαin the momentum equation leads to a decrease in the horizontal velocity.Anomalous diffusion described by the fractional derivative model weakens the mass transfer;therefore,the concentration decreases with increasing fractional derivativeγin the concentration equation.